Affiliation:
1. Key Laboratory of Quark & Lepton Physics (MOE), Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
2. School of Science, East China University of Technology, Nanchang 330013, China
Abstract
In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the h-derivative, which generalizes the conventional Newton–Leibniz calculus. This new entropy, Sh,h′, is proved to describe the non-extensive systems and recover several types of well-known non-extensive entropic expressions, such as the Tsallis entropy, the Abe entropy, the Shafee entropy, the Kaniadakis entropy and even the classical Boltzmann–Gibbs one. As a generalized entropy, its corresponding properties are also analyzed.
Funder
Guangdong Major Project of Basic and Applied Basic Research
Doctoral Research of ECUT
Natural Science Foundation of China with Project
Subject
General Physics and Astronomy
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